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Finding the Fourth Proportional to 9,568.13, 14,341.86 and 4,627.33

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Solution

The fourth proportional to 9,568.13, 14,341.86 and 4,627.33 is: 6,936.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.13 : 14,341.86 = 4,627.33 : x
  2. Step 2: Convert to fraction form
    9,568.13/14,341.86 = 4,627.33/x
  3. Step 3: Cross multiply
    9,568.13x = 14,341.86 × 4,627.33
  4. Step 4: Simplify right side
    9,568.13x = 66,364,483.18
  5. Step 5: Solve for x
    x = 66,364,483.18/9,568.13
  6. Step 6: Final answer
    x = 6,936.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.